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Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs

  • Yanyang Li
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Abstract

Let ℱ={2K2,C4,C5}, so that Forb(ℱ) is the class of split graphs. Resolving a conjecture of Wang and Tang, we prove that the class of split graphs is generalized spectrally closed and that it admits no walk-realizable ℱ-supporter of any finite order.

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Cite

BibTeXRIS
BibTeX
@misc{li2026generalized,
  title = {{Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs}},
  author = {Yanyang Li},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29260},
  eprint = {2608.29260},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29260},
}
RIS
TY  - UNPB
TI  - Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs
AU  - Yanyang Li
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.29260
UR  - https://arxiv.org/abs/2608.29260
AB  - Let ℱ={2K_2,C_4,C_5}, so that Forb(ℱ) is the class of split graphs. Resolving a conjecture of Wang and Tang, we prove that the class of split graphs is generalized spectrally closed and that it admits no walk-realizable ℱ-supporter of any finite order.
ER  -